What is the Greatest Common Factor of 98430 and 98435?

Greatest common factor (GCF) of 98430 and 98435 is 5.

GCF(98430,98435) = 5

We will now calculate the prime factors of 98430 and 98435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98430 and 98435.

How to find the GCF of 98430 and 98435?

We will first find the prime factorization of 98430 and 98435. After we will calculate the factors of 98430 and 98435 and find the biggest common factor number .

Step-1: Prime Factorization of 98430

Prime factors of 98430 are 2, 3, 5, 17, 193. Prime factorization of 98430 in exponential form is:

98430 = 2¹ × 3¹ × 5¹ × 17¹ × 193¹

Step-2: Prime Factorization of 98435

Prime factors of 98435 are 5, 19687. Prime factorization of 98435 in exponential form is:

98435 = 5¹ × 19687¹

Step-3: Factors of 98430

List of positive integer factors of 98430 that divides 98430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 193, 255, 386, 510, 579, 965, 1158, 1930, 2895, 3281, 5790, 6562, 9843, 16405, 19686, 32810, 49215

Step-4: Factors of 98435

List of positive integer factors of 98435 that divides 98430 without a remainder.

1, 5, 19687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98430 and 98435. The biggest common factor number is the GCF number.
So the greatest common factor 98430 and 98435 is 5.

Also check out the Least Common Multiple of 98430 and 98435